640578 divided by 71 
We want to figure out the number of times 640578 can be divided by 71.

Advancing to step 1:
The number 71 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

Advancing to step 2:
If we divide 64 by 71, we get 0 and a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Take the next digit (0) from the dividend and append it to 64, then repeat: 640 / 71

On to step 3:
If we divide 640 by 71, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 639 from 640 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 71

Let's proceed to step 4:
71 goes into 15 0 times with a remainder of 15.
The next digit of our result is 0. 
Result so far: 90.0
If we subtract 0 from 15, we get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 71

Moving on to step 5:
When dividing 157 by 71, we get 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 902.0
Deduct 142 from 157 and we're left with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 71

Step 6:
158 divided by 71 is 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 9022.0
Subtract 142 from 158 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
When dividing 160 by 71, we get 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 9022.2
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
The number 71 fits into 180 2 times, leaving a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 9022.22
Subtract 142 from 180 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 9022.22, and the remainder is 0.038.